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Fuzzy topological spaces

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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-10-01 and is currently open access. It has received 1997 citations till now. The article focuses on the topics: Topological tensor product & Topological space.

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Citations
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Book ChapterDOI

Elements of a Fuzzy Geometry for Visual Space

TL;DR: The notions of fuzzy location and fuzzy proximity are introduced to capture the imprecision associated with judgements of absolute and relative visual position.
Journal ArticleDOI

On fuzzy t-convergences

TL;DR: In this paper, the notions of fuzzy θ -convergence and weakly θ-concavity on a fuzzy topological space were introduced and studied, which can be considered as generalizations of the convergence defined in Georgiou and Papadopoulos (1998).
Proceedings Article

β -Compactness in L-Fuzzy Topological Spaces.

TL;DR: In this article, β-compactness is introduced in L-topological spaces, where L is a fuzzy lattice, and its topological properties are systematically studied, including different characterizations and some of its properties are studied.
Book ChapterDOI

Fuzzy Convexity and Peripherial Core of an Exchange Economy Represented as a Fuzzy Game

TL;DR: In this paper, the peripherial core existence is defined from a new and weaker notion of convexity, which allows to balance an exchange economy approximately if the usual core in empty and also permits to distinguish betweeen the usual balancing allocations (when they exist), the one which corresponds to the higher social level of satisfaction.
References
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Journal ArticleDOI

L-fuzzy sets

TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].